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Show that any sequence of n^(3)+ 1 numbers contains either a strictly-increasing subsequence of length n + 1, a strictly-decreasing subsequence of length n +

Show that any sequence of n^(3)+ 1 numbers contains either

a strictly-increasing subsequence of length n + 1,

a strictly-decreasing subsequence of length n + 1, or

n + 1 elements with the same value.

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